The finite section method and problems in frame theory (Q1772701)
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scientific article; zbMATH DE number 2160164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The finite section method and problems in frame theory |
scientific article; zbMATH DE number 2160164 |
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The finite section method and problems in frame theory (English)
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21 April 2005
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The finite section method applies for approximation of frame operators and their inverses. The paper under review presents a computable refinement of the finite section method in the two above mentioned cases. This is achieved by restricting the attention to finite matrices. Special attention is given to frames which are polynomially or exponentially localized with respect to some orthonormal basis. The rates of approximation for these cases are given. Several applications are provided.
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frames
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finite section method
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inverse frame operator
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shift-invariant system
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localized frame
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